We look at the division of 805669 by 21 
We want to divide 805669 by 21.

On to step 1:
21 can be fit into 8 0 times, resulting in a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 21

Advancing to step 2:
21 can be fit into 80 3 times, resulting in a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 63 from 80 leaves us with 17.
Take the next digit (5) from the dividend and append it to 17, then repeat: 175 / 21

Going ahead to step 3:
If we divide 175 by 21, we get 8 and a remainder of 7.
The number 8 becomes the next digit in our result. 
Result so far: 38.0
If we take 168 away from 175, we end up with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 21

On to step 4:
21 can be fit into 76 3 times, resulting in a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 383.0
Deduct 63 from 76 and we're left with 13.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 21

Advancing to step 5:
The number 21 fits into 136 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 3836.0
Deduct 126 from 136 and we're left with 10.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 21

Going ahead to step 6:
The number 21 fits into 109 5 times, leaving a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 38365.0
Subtract 105 from 109 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
The number 21 fits into 40 1 times, leaving a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 38365.1
If we subtract 21 from 40, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 8:
The number 21 fits into 190 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 38365.19
If we subtract 189 from 190, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 9:
21 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 38365.19
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
21 goes into 100 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 38365.1904
If we take 84 away from 100, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 11:
160 divided by 21 is 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 38365.19047
If we subtract 147 from 160, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 12:
130 divided by 21 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 38365.190476
The remainder is 4 after subtracting 126 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 13:
If we divide 40 by 21, we get 1 and a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 38365.1904761
Deduct 21 from 40 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 14:
21 goes into 190 9 times with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 38365.19047619
Subtract 189 from 190 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 38365.19047619 with a remaining 1e-09.